若复数a?i1+i(a∈R,i为虚数单位)是纯虚数,则实数a的值为(  )A.-1B.1C.2D.-

日期:2016-09-13 15:26:43 人气:2

若复数a?i1+i(a∈R,i为虚数单位)是纯虚数,则实数a的值为(  )A.-1B.1C.2D.-

∵a?i1+i=(a?i)(1?i)(1+i)(1?i)=(a?1)?(a+1)i2=a?12?a+12i,又复数a?i1+i(a∈R,i为虚数单位)是纯虚数,∴a?12=0a+12≠0,解得:a=1.故选:B.
    A+
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